Simplification and solving of equation

1. The problem statement, all variables and given/known data
The problem are two:
(1) Simplify: 1/4(2n- 2n+2)

(2) Solve the equation 2(2x+1)- 9(2x) + 4 = 0
2. Relevant equations

3. The attempt at a solution
for the number one question, simplify:
1/4(2n- 2n+2)

1/4(2n- 2n+2)
= 4-1(2n-2n+2)
= 2(-2)(2n-2n+2)
= 2(-2)(2n-2n*22
I can't go further please I need asistance.

For the second question, solve the equation:
2(2x+1)- 9(2x) + 4 = 0

I don't just know how to start dealing with the question. It is really a troubsome question.

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 I'm confused as to your original equations. $$(1)\frac{1}{4}2^n-2^{n+2}$$ $$(2)\ 2^{2x+1} - 9(2^x + 4)$$ Are those correct?

Recognitions:
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 Quote by chikis 1. The problem statement, all variables and given/known data The problem are two: (1) Simplify: 1/4(2[sup]n[sup/]- 2[sup]n+2[sup/]) (2) Solve the equation 2[sup](2x+1)- 9(2[sup]x[sup/] + 4 = 0 2. Relevant equations 3. The attempt at a solution for the number one question, simplify: 1/4(2[sup]n[sup/]- 2[sup]n+2[sup/]) 1/4(2[sup]n[sup/]- 2[sup]n+2[sup/]) = 4[sup]-1[sup/](2[sup]n[sup/]-2[sup]n+2[sup/]) = 2[sup](-2)[sup/](2[sup]n[sup/]-2[sup]n+2[sup/]) = 2[sup](-2)[sup/](2[sup]n[sup/]-2[sup]n[sup/]*2[sup]2[sup/] I can't go further please I need asistance. For the second question, solve the equation: 2[sup](2x+1)- 9(2[sup]x[sup/] + 4 = 0 I don't just know how to start dealing with the question. It is really a troubsome question.
Use [S U P] and [/S U P] (but with no spaces), not [sup ] and [ /sup]. In fact, just use the "X2" button on the palette at the top in the input panel.

RGV

Simplification and solving of equation

 Quote by Ray Vickson Use [S U P] and [/S U P] (but with no spaces), not [sup ] and [ /sup]. In fact, just use the "X2" button on the palette at the top in the input panel. RGV
I have edited the problem so that it can be seen clearly.

 Quote by Villyer I'm confused as to your original equations. $$(1)\frac{1}{4}2^n-2^{n+2}$$ $$(2)\ 2^{2x+1} - 9(2^x + 4)$$ Are those correct?
I have edited my opening post so that it can be seen clearly. Maybe you can look at the problem again.

 For (1), you are close. Combine like terms. For (2), it is actually a quadratic. Can you see what the variable is?

 Quote by Villyer For (1), you are close. Combine like terms.
If like terms is collected, the expression will look like this:
2(-2)*22(2n-2n)
= 2(2n-2n)
= 2n+1-2n

 For (2), it is actually a quadratic. Can you see what the variable is?
No! I didn't see the variable.

Recognitions:
Homework Help
 Quote by chikis If like terms is collected, the expression will look like this: 2(-2)*22(2n-2n)
 Quote by chikis = 2(-2)(2n-2n+2) = 2(-2)(2n-2n*22
What we have so far is

$$2^{-2}(2^n-2^n\cdot 2^2)$$

Can you expand this?

 Quote by chikis No! I didn't see the variable.
There is a basic rule of exponentiation that says that if you exponentiate an exponent, you multiply the exponents together. What this is saying is that
$$(a^m)^n=a^{mn}$$

So then what does $(2^x)^2$ simplify to?

Recognitions:
Homework Help
 Quote by chikis If like terms is collected, the expression will look like this: 2(-2)*22(2n-2n) = 2(2n-2n) = 2n+1-2n
Nope. Look at the last step in your original post:
 Quote by chikis 1/4(2n- 2n+2) 1/4(2n- 2n+2) = 4-1(2n-2n+2) = 2(-2)(2n-2n+2) = 2(-2)(2n-2n*22)
Answer this: what is x - 4x?
Now answer this: what is 2n - 4*2n?
That's what Villyer meant by combining terms.

 Quote by chikis No! I didn't see the variable.
$2^{2x+1} - 9\cdot 2^x + 4$
Rewrite the 1st term so it looks like (something) times 22x.

EDIT: Beaten to it.

 I don't understand what you guys are writing, write using the same format I used in showing my raise to power in my opening post. I will understand it better and therefore be able to respond to the numerous replies you guys are posting.

Recognitions:
Homework Help
 Quote by chikis I don't understand what you guys are writing, write using the same format I used in showing my raise to power in my opening post. I will understand it better and therefore be able to respond to the numerous replies you guys are posting.
You can't see Latex? I think you should try find out and fix what the problem is on your end, because Latex is commonly used on this forum and not just in this thread.

 Quote by Mentallic You can't see Latex? I think you should try find out and fix what the problem is on your end, because Latex is commonly used on this forum and not just in this thread.

Recognitions:
Homework Help
I'm not asking you to learn to use latex so suddenly, but rather I'm confused as to why you can't read what we've written. Correct me if I'm wrong, but I think that Latex is software that's inbuilt into this forum, so basically everyone can read it (unless they have some horribly outdated internet browser).

Anyway, I'll edit what emuyang and I wrote in the format you've requested.

 Quote by Mentallic This does not follow from the last line you had written in your opening post: What we have so far is 2-2*(2n - 2n*22) Can you expand this? There is a basic rule of exponentiation that says that if you exponentiate an exponent, you multiply the exponents together. What this is saying is that (am)n=amn So then what does (2x)2 simplify to?

 Quote by eumyang Nope. Look at the last step in your original post: Answer this: what is x - 4x? Now answer this: what is 2n - 4*2n? That's what Villyer meant by combining terms. 22x+1 - 9*2x + 4 Rewrite the 1st term so it looks like (something) times 22x. EDIT: Beaten to it.
EDIT: Changed the ^ to [sup ] tags

Recognitions:
Homework Help
You have been given lots of help---any more help and we would be doing your homework for you. If you are having trouble understanding what people write you need to sit down with a pencil and several sheets of paper and start writing things down in whatever notation you like.

RGV

 Quote by Ray Vickson You have been given lots of help---any more help and we would be doing your homework for you. If you are having trouble understanding what people write you need to sit down with a pencil and several sheets of paper and start writing things down in whatever notation you like. RGV
I did not ask you to do my home work. What I ask is this: give me directions that will help me do the homework. That's all that I ask, anything far from that then you are doing my homework. I know that you are giving me some asistance, but how can I work with the language I don't understand. I know that apart from latex, there are other formats that can be used and I will be able to understand all the replies you are posting and be able to respond accordingly.

Recognitions:
Homework Help
 Quote by chikis I did not ask you to do my home work. What I ask is this: give me directions that will help me do the homework. That's all that I ask, anything far from that then you are doing my homework. I know that you are giving me some asistance, but how can I work with the language I don't understand. I know that apart from latex, there are other formats that can be used and I will be able to understand all the replies you are posting and be able to respond accordingly.
Here is what one responder said to you:

"Answer this: what is x - 4x?
Now answer this: what is 2n - 4*2n? "

RGV

 Quote by Ray Vickson Here is what one responder said to you: "Answer this: what is x - 4x?
Is just an expression an algebraic expression. If factored it will look like this: x(1-4)
= x(1-2)(2+1)
 Now answer this: what is 2n - 4*2n? " So, what are your answers? Do you see why the answers are important? RGV
That is 2 raise power n minus 4 times 2 raise to power n. It can be simplified further to appear like this: 2n - 22 * 2n
= 2n/22+n
= 2n-(2+n)
= 2n-2-n